Discrete Math
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discrete math
Could someone help me with this induction proof. I know its true. given then any integer m is less than or equal to 2, is it possible to find a sequence of m1 consecutive positive integers none of which is prime? explain any help
asked by Kai on March 26, 2007 
mat advance analysis
True or False: If ab and a(b + 1), then a = ±1. [NOTE: Use this Theorem 3: If ab and ac, then a(bx+cy) for any integers x and y. PROOF: Since ab, there is an integer u such that b = au. Since ac, there is an integer v such
asked by nathalie on October 14, 2016 
Algebra II
In an induction proof of the statement 4+7+10+...+(3n1)=n(3n+5)/2 the first step is to show that the statement is true for some integers n. Note:3(1)+1=1[3(1)+5]/2 is true. Select the steps required to complete the proof. A)Show
asked by Jon on December 15, 2007 
math induction
prove the product of 4 consecutive integers is always divisible by 24 using the principles of math induction. Could anyone help me on this one? Thanks in advance! Sure For induction we want to prove some statement P for all the
asked by zomg on September 14, 2006 
computer sciece(Computation Theory)
Find the error in the following proof that all horses are the same color. CLAIM: In any set of h horses, all horses are the same color. PROOF: By induction on h. Basis: For h = 1. In any set containing just one horse, all horses
asked by Alex on September 26, 2011 
math
1)Find the third iterate x3 of f(x)=x24 for an initial value of x0=2 A)4 B)4 C)12 D)12 I chose C 2)Use Pascal's triangle to expand:(wx)5 This ones long so I chose w55w4x+10w3x310w2x4+5wx4x5 3)Use the binomial Theorem to
asked by Jon on December 13, 2007 
precalculus
Find Pk + 1 if Pk = 7 + 13 + 19 + ...+[6(k  1)+1] + (6k + 1) 7 + 13 + 19 + …+[6(k  1) + 1] + (6k + 1) + [6(k + 1) + 1] 8 + 14 + 20 + …+[7(k  1) + 1] + (7k + 1) 7 + 13 + 19 + …+(6k + 1) 7 + 13 + 19 + ...+[6(k  1) + 1] +
asked by sally on December 14, 2016 
Algebra ASAP
so this is a fill in on a worksheet and I am having difficulty as the ones I inserted are incorrect can anybody help me how to do it all, sorry it's a long problem. Show that 3^2n − 1 is divisible by 8 for all natural numbers n.
asked by Briane Mendez on August 12, 2015 
PreCalculus
What makes a mathematical induction true? I know how to solve both steps in the proof, but how do you reach this conclusion?
asked by Algie<3333 on June 20, 2014 
Math  PreCalc (12th Grade)
If Sn represents the sum of the squares of the first n natural numbers, use proof by induction to find which of the following expressions for Sn is true? A) Sn = n(n − 1)/3 B) Sn = n(2n − 1)/3 C) Sn = n(n + 1)/3 D) Sn = n(n +
asked by Shawna on March 20, 2014